Memory-Saving Techniques In Damped-Least-Squares Optimisation Of Complex Optical Systems

Yongtian Wang; John Macdonald

doi:10.1117/12.949386

13 April 1989 Memory-Saving Techniques In Damped-Least-Squares Optimisation Of Complex Optical Systems

Yongtian Wang, John Macdonald

Proceedings Volume 1013, Optical Design Methods, Applications and Large Optics; (1989) https://doi.org/10.1117/12.949386
Event: 1988 International Congress on Optical Science and Engineering, 1988, Hamburg, Germany

Abstract

This paper describes three simple methods for improving convenience and reducing memory requirements during the optimisation of complex optical systems, without significant penalty in terms of computer time. Such optical systems will typically involve surfaces of unusual shape (e.g. aspherised toric), tilted and decentred surfaces, many linked parameters, and multiple configurations (e.g. zoom systems, or removable components). The three methods have all been employed to good effect in the authors' optimisation program. They are (i) a scheme of equation building with small partitioned matrices, (ii) a simple but highly efficient method for the storage of constructional data, and (iii) the diagonalisation of a quadratic variance-based merit function into a simple sum of squares.

Citation Download Citation

Yongtian Wang and John Macdonald "Memory-Saving Techniques In Damped-Least-Squares Optimisation Of Complex Optical Systems", Proc. SPIE 1013, Optical Design Methods, Applications and Large Optics, (13 April 1989); https://doi.org/10.1117/12.949386

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